Algorithm 483: Masked three-dimensional plot program with rotations

ABSTRACT

PLOT3D will accept three-dimensional data in various forms, rotate it in three-space, and plot the projection of the resulting figure onto the x-y plane. Those lines or portions of lines which should be hidden by previous lines are masked.

REFERENCES

• 1: Abramowitz, M., and Stegun, I.A. (Eds.) Handbook of Mathematical Functions. Applied Math. Series 55, National Bureau of Standards, U.S. Gov. Print. Off., Washington, D.C., 1964.
• 2: Hunter, D.B. The calculation of certain Bessel functions. Math. Comp. 18 (1964), 123-128.
• 3: Salzer, H.E., Zucker, R., Capuano, R. Tables of the zeros and weight factors of the first twenty Hermite polynomials. J. Res. Nat. Bur. Standards 48 (1952), 111-116.
• 1: Eidson, Harold D. Computation of interpolating splines via a factorization method. CNA report, to appear.
• 2: Eidson, Harold D., and Schumaker, L.L. Computation of g-splines via local bases. CNA report, Center for Numerical Analysis, U. of Texas, Austin, 1972, to appear.
• 3: Greville, T.N.E. Data fit/big by spline functions. MRC report 893, U. of Wisconsin, 1968.
• 4: Jerome, J.W., and Schumaker, L.L. On Lg-splines, J. Approx. Th. 2 (1969), 29-49.
• 5: Jerome, J.W., and Schumaker, L.L. Local bases and computation of g-splines. Methoden und Verfahren der Mathematische Physik 5 (1971), 171-199.
• 6: Karlin, S., and Karon, J.M. On Hermite-Birkhoff interpolation. J. Approx. Th. 6 (1972), 90-115.
• 7: Lyche, T., and Schumaker, L.L. Computation of smoothing and interpolating natural splines via local bases. SIAM J. Numer. Anal. 10 (1937), 1027-1038.
• 8: Tom Lyche , Larry L. Schumaker, Procedures for computing smoothing and interpolating natural splines, Communications of the ACM, v.17 n.8, p.463-467, Aug. 1974 [doi>10.1145/361082.361096]
• 9: Munteanu, M.J., and Schumaker, L.L. On a method of Carasso and Laurent for constructing interpolating splines. Math. Comp. 27 (1973), 317-325.
• 10: Schumaker, L.L. Some algorithms for the computation of interpolating and approximating spline functions. In Theory and Application of Spline Functions, Academic Press, New York, 1968, pp. 87-102.

INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Geometrical problems and computations

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.1 Interpolation
          Subjects: Interpolation formulas
  G.2 DISCRETE MATHEMATICS

  I. Computing Methodologies
  I.3 COMPUTER GRAPHICS

General Terms:
Algorithms

Keywords:
plotting, three-dimensional plotting